The Resource A compendium of partial differential equation models : method of lines analysis with Matlab, William E. Schiesser, Graham W. Griffiths

A compendium of partial differential equation models : method of lines analysis with Matlab, William E. Schiesser, Graham W. Griffiths

Label
A compendium of partial differential equation models : method of lines analysis with Matlab
Title
A compendium of partial differential equation models
Title remainder
method of lines analysis with Matlab
Statement of responsibility
William E. Schiesser, Graham W. Griffiths
Creator
Contributor
Author
Subject
Language
eng
Summary
Mathematical modelling of physical and chemical systems is used extensively throughout science, engineering, and applied mathematics. To use mathematical models, one needs solutions to the model equations; this generally requires numerical methods. This book presents numerical methods and associated computer code in Matlab for the solution of a spectrum of models expressed as partial differential equations (PDEs). The authors focus on the method of lines (MOL), a well-established procedure for all major classes of PDEs, where the boundary value partial derivatives are approximated algebraically by finite differences. This reduces the PDEs to ordinary differential equations (ODEs) and makes the computer code easy to understand, implement, and modify. Also, the ODEs (via MOL) can be combined with any other ODEs that are part of the model (so that MOL naturally accommodates ODE/PDE models). This book uniquely includes a detailed line-by-line discussion of computer code related to the associated PDE model
Cataloging source
UkCbUP
http://library.link/vocab/creatorName
Schiesser, W. E
Dewey number
515/.353
Index
index present
LC call number
QA377
LC item number
.S3538 2009
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Griffiths, Graham W.
http://library.link/vocab/subjectName
Differential equations, Partial
Label
A compendium of partial differential equation models : method of lines analysis with Matlab, William E. Schiesser, Graham W. Griffiths
Link
https://doi.org/10.1017/CBO9780511576270
Instantiates
Publication
Note
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
An introduction to the method of lines -- A one-dimensional, linear partial differential equation -- Green's function analysis -- Two nonlinear, variable-coeffcient, inhomogeneous partial differential equations -- Euler, Navier Stokes, and Burgers equation -- The cubic Schrödinger equation -- The Korteweg-deVries equation -- The linear wave equation -- Maxwell's equations -- Elliptic partial differential equations: Laplace's equation -- Three-dimensional partial differential equation -- Partial differential equation with a mixed partial derivative -- Simultaneous, nonlinear, two-dimensional partial differential equations in cylindrical coordinates -- Diffusion equation in spherical coordinates -- Appendixes: 1. Partial differential equations from conservation principles: the Anisotropic diffusion equation -- 2. Order conditions for finite-difference approximations -- 3. Analytical solution of nonlinear, traveling wave partial differential equations -- 4. Implementation of time-varying boundary conditions -- 5. The differentiation in space subroutines library -- 6. Animating simulation results
Extent
1 online resource (xiii, 474 pages)
Form of item
online
Isbn
9780511576270
Isbn Type
(ebook)
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other physical details
digital, PDF file(s).
Specific material designation
remote
System control number
(UkCbUP)CR9780511576270
Label
A compendium of partial differential equation models : method of lines analysis with Matlab, William E. Schiesser, Graham W. Griffiths
Link
https://doi.org/10.1017/CBO9780511576270
Publication
Note
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
An introduction to the method of lines -- A one-dimensional, linear partial differential equation -- Green's function analysis -- Two nonlinear, variable-coeffcient, inhomogeneous partial differential equations -- Euler, Navier Stokes, and Burgers equation -- The cubic Schrödinger equation -- The Korteweg-deVries equation -- The linear wave equation -- Maxwell's equations -- Elliptic partial differential equations: Laplace's equation -- Three-dimensional partial differential equation -- Partial differential equation with a mixed partial derivative -- Simultaneous, nonlinear, two-dimensional partial differential equations in cylindrical coordinates -- Diffusion equation in spherical coordinates -- Appendixes: 1. Partial differential equations from conservation principles: the Anisotropic diffusion equation -- 2. Order conditions for finite-difference approximations -- 3. Analytical solution of nonlinear, traveling wave partial differential equations -- 4. Implementation of time-varying boundary conditions -- 5. The differentiation in space subroutines library -- 6. Animating simulation results
Extent
1 online resource (xiii, 474 pages)
Form of item
online
Isbn
9780511576270
Isbn Type
(ebook)
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other physical details
digital, PDF file(s).
Specific material designation
remote
System control number
(UkCbUP)CR9780511576270

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